72747472 has 80 divisors (see below), whose sum is σ = 166953600. Its totient is φ = 30067200.

The previous prime is 72747469. The next prime is 72747473. The reversal of 72747472 is 27474727.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72747473) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 667354 + ... + 667462.

It is an arithmetic number, because the mean of its divisors is an integer number (2086920).

Almost surely, 2^72747472 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72747472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83476800).

72747472 is an abundant number, since it is smaller than the sum of its proper divisors (94206128).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

72747472 is a wasteful number, since it uses less digits than its factorization.

72747472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284 (or 278 counting only the distinct ones).

The product of its digits is 153664, while the sum is 40.

The square root of 72747472 is about 8529.2128593441. The cubic root of 72747472 is about 417.4514449850.

The spelling of 72747472 in words is "seventy-two million, seven hundred forty-seven thousand, four hundred seventy-two".